热传导问题的一种近似解法

A Kind of Approximating Method for The Heat Conduct Problem

本文在给定的精度要求下,利用多项式及Fourier级数,给出了求热传导方程Cauchy问题在某处的近似解的方法,并把此方法推广成为求解任一有界域上满足给定精度要求的近似解的方法。

Under a fixed precision, how to get the solution of the cauchy problem of heat conduct equation at any point (t,x)? A kind of approximating method that use polynomial and Fourier series has been given in this paper. At final, this method has been improved to solve the solution that satisfy the fixed precision in any bounded domain.